「数学化」を実現するための授業設計に関する研究

単元「数列」の設計

抄録

The purpose of this paper is to design a unit “Sequence” for realizing “Mathematization”. For attaining the purpose, this paper draws out viewpoints for realizing “Mathematization” from realizing “emergent modeling” theory. The conclusions of this paper are as follows.1) We were able to draw out three viewpoints of instructional design; realizing “mathematical reality”, “model”, and the reflex relationship between the two. We were able to design a unit “Sequence” for realizing “Mathematization” by using those viewpoints. 2) The unit “Sequence” designed in this paper suggests improvements on traditional methods of instruction on this unit. We have to intend for students to reinvent a method of inquiring “Change” using a recursion form.